In the following translational mechanical system the input is \(f(t)\) and the output is the force in spring \(k_{3}\).

(a) Draw the free-body diagrams for the mass \(m\) and the massless point \(A\).

(b) Write down the system equations of motion.

(c) Choose the minimum set of state variables for the system and develop the state-variable matrix model (i.e. obtain \(A, B, C\), and D).

Transcribed Image Text:

k 000 k m 000 XXXX b X2 000 k3 A f(t) Translational Mechanical System